1 Applications

Agda is a system for incrementally developing proofs and programs. Agda is also a functional language with Dependent types. This language is very similar to cayenne and agda is intended to be a (almost) full implementation of it in the future.

Cayenne is a functional language with a powerful dependent type system. The basic types are functions, products, and sums. Functions and products use dependent types to gain additional power. As with Epigram, a dependently typed language may be used to encode strong proofs in the type system.

The Proof General Kit designs and implements a component-based framework for interactive theorem proving. The central middleware of the toolkit is implemented in Haskell. The project is the sucessor of the highly successful Emacs-based Proof General interface.

Equinox is a new theorem prover for pure first-order logic with equality. It finds ground proofs of the input theory, by solving successive ground instantiations of the theory using an incremental SAT-solver. Equality is dealt with using a Nelson-Oppen framework.